39480100416 has 189 divisors, whose sum is σ = 120458114049. Its totient is φ = 12360480768.

The previous prime is 39480100411. The next prime is 39480100441. The reversal of 39480100416 is 61400108493.

The square root of 39480100416 is 198696.

It is a perfect power (a square), and thus also a powerful number.

39480100416 is a `hidden beast` number, since 39 + 480 + 100 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30737102400 + 8742998016 = 175320^2 + 93504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (39480100411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81067725 + ... + 81068211.

Almost surely, 2^39480100416 is an apocalyptic number.

39480100416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

39480100416 is the 198696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39480100416

39480100416 is an abundant number, since it is smaller than the sum of its proper divisors (80978013633).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39480100416 is an equidigital number, since it uses as much as digits as its factorization.

39480100416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 39480100416 by its sum of digits (36), we get a square (1421283614976 = 1192176²).

39480100416 divided by its sum of digits (36) gives a square (1096669456 = 33116²).

Multiplying 39480100416 by its product of nonzero digits (20736), we get a square (818659362226176 = 28612224²).

The spelling of 39480100416 in words is "thirty-nine billion, four hundred eighty million, one hundred thousand, four hundred sixteen".